login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A197667 Number of n X 3 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 4,0,1,0,1 for x=0,1,2,3,4. 1
4, 22, 95, 546, 2765, 14503, 74812, 386556, 2008698, 10415923, 54096117, 280793815, 1457402796, 7564115674, 39256668738, 203743660496, 1057439556784, 5488205547156, 28484308704921, 147836021658293, 767281388051654 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Every 0 is next to 0 4's, every 1 is next to 1 0's, every 2 is next to 2 1's, every 3 is next to 3 0's, every 4 is next to 4 1's.
Column 3 of A197672.
LINKS
FORMULA
Empirical: a(n) = 5*a(n-1) +7*a(n-2) -24*a(n-3) -44*a(n-4) +67*a(n-5) +50*a(n-6) -412*a(n-7) -2205*a(n-8) -7418*a(n-9) -6654*a(n-10) -2331*a(n-11) +42455*a(n-12) +97689*a(n-13) +188061*a(n-14) +169272*a(n-15) -162775*a(n-16) -268709*a(n-17) -801522*a(n-18) -429147*a(n-19) +162997*a(n-20) -228546*a(n-21) +1079921*a(n-22) +1138660*a(n-23) +160033*a(n-24) -1361447*a(n-25) -51481*a(n-26) +285711*a(n-27) +152964*a(n-28) -624541*a(n-29) +374389*a(n-30) +62069*a(n-31) -30580*a(n-32) +83333*a(n-33) -134862*a(n-34) +17843*a(n-35) +16897*a(n-36) +7673*a(n-37) -3585*a(n-38) -1901*a(n-39) +2034*a(n-40) -729*a(n-41) +137*a(n-42) -105*a(n-43).
EXAMPLE
Some solutions for n=4
..0..0..0....0..0..1....1..0..0....0..1..2....1..1..0....0..3..0....0..0..0
..0..3..1....0..0..2....1..0..3....0..1..1....0..1..2....0..0..0....1..2..0
..0..0..1....1..1..1....1..2..0....1..1..0....0..1..1....0..2..1....2..1..0
..1..1..2....2..1..0....0..1..1....2..1..0....1..2..0....0..1..2....0..1..1
CROSSREFS
Cf. A197672.
Sequence in context: A340748 A036926 A079272 * A366759 A007901 A368289
KEYWORD
nonn
AUTHOR
R. H. Hardin, Oct 17 2011
STATUS
approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 3 00:46 EST 2024. Contains 370499 sequences. (Running on oeis4.)